Least Common Multiple (LCM) of 189 and 182
The least common multiple (LCM) of 189 and 182 is 4914.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 189 and 182?
First, calculate the GCD of 189 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 182 = 1 remainder 7 |
| 2 | 182 ÷ 7 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 58 | 3538 |
| 67 and 65 | 4355 |
| 194 and 31 | 6014 |
| 26 and 159 | 4134 |
| 103 and 35 | 3605 |